Difference between revisions of "Algebra View"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
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=Algebra View User Interface=
{{gui|view}}
 
Using the [[Input Bar]] you can directly enter algebraic expressions in GeoGebra. After hitting the {{KeyCode|Enter}} key your algebraic input appears in the [[Algebra View]] while its graphical representation is automatically displayed in the [[Graphics View]].
 
{{Example|1=The input ''<nowiki>f(x) = x^2</nowiki>'' gives you the function f in the Algebra View and its function graph in the [[Graphics View]].}}
 
In the Algebra View, mathematical objects are organized as free and dependent objects. If you create a new object without using any other existing objects, it is classified as a free object. If your newly created object was created by using other existing objects, it is classified as a dependent object.
 
  
{{hint|1=If you want to hide the algebraic representation of an object in the Algebra View, you may specify the object as an auxiliary object:<br>Right click (Mac OS: {{KeyCode|Ctrl}}-click) on the corresponding object in the Algebra View and select Properties from the appearing [[Context Menu]].<br>On tab Basic of the [[Properties Dialog]] you may specify the object as an [[Free, Dependent and Auxiliary Objects#Auxiliary Objects|Auxiliary Object]].<hr>By default, auxiliary objects are not shown in the Algebra View, but you can change this setting by selecting "Auxiliary Objects" from the context menu (right-click) or by clicking on the appropriate icon in the [[Algebra View#Style Bar|Style Bar]]}}
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You may [[GeoGebra_5.0_Desktop_vs._Web_and_Tablet_App#Customizing_the_Layout_of_the_User_Interface|change the layout]] of the ''Algebra View User Interface'' according to your needs.
 
Note that you are able to modify objects in the Algebra View as well: Make sure that you activate the [[Image:Tool Move.gif]] [[Move Tool]] before you double click on a [[Free, Dependent and Auxiliary Objects#Free Objects|free object]] in the Algebra View. In the appearing text box you can directly edit the algebraic representation of the object. After hitting the {{KeyCode|Enter}} key, the graphical representation of the object will automatically adapt to your changes.
 
  
If you double-click on a [[Free, Dependent and Auxiliary Objects#Dependent Objects|dependent object]] in the Algebra View, a dialog window appears allowing you to [[Redefine Dialog|Redefine]] the object.
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=Creating Mathematical Objects=
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==Direct Input==
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In the ''Algebra View'' you can directly enter algebraic expressions using the integrated ''Input Field'' (GeoGebra Web and Tablet Apps) or the ''Input Bar'' at the bottom of the GeoGebra window (GeoGebra Desktop). After hitting the {{KeyCode|Enter}} key your algebraic input appears in the ''Algebra View'' while its graphical representation is automatically displayed in the ''[[Graphics View]]''.  
  
GeoGebra also offers a wide range of [[commands]] that can be entered into the [[Input Bar]]. You can open the list of commands in the right corner of the Input Bar by clicking on the button Command. After selecting a command from this list (or typing its name directly into the [[Input Bar]]) you can press the {{KeyCode|F1}} key to get information about the syntax and arguments required to apply the corresponding command.
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{{Example|1=The input ''<nowiki>y = 2 x + 3</nowiki>'' gives you the linear equation in the ''Algebra View'' and the corresponding line in the ''[[Graphics View]]''.}}
==Style Bar==
 
This [[Views#Style Bar|Style Bar]] contains two buttons.
 
  
;[[Image:Auxiliary.png]] Auxiliary objects:toggling this button shows or hides [[Free, Dependent and Auxiliary Objects|Auxiliary Objects]].
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==Commands==
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GeoGebra also offers a wide range of ''[[Commands]]'' that can be used to create objects in the ''Algebra View''. Just start typing the name of a ''Command'' into the ''Input Bar'' or ''Input Field'' and GeoGebra will offer you a list of ''Commands'' that match your input.  
  
;[[Image:Tree.png]] Sort Objects by Type: when turned on, objects are sorted by type (e.g. [[Points and Vectors|Points]], [[Lines and Axes|Lines]], ...), otherwise they are divided among [[Free, Dependent and Auxiliary Objects]] (sorted by [[Layers]] or listed in ''Construction Order'').
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==Tools==
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Although the ''Algebra View'' doesn’t have it’s own ''Toolbar'', you can create [[Free, Dependent and Auxiliary Objects#Dependent Objects|''Dependent Objects'']] with the mouse. Select a tool from the ''Graphics View Toolbar'' and click on any appropriate object in the ''Algebra View'' in order to create a new ''Dependent Object''.
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{{Example|1=Create two points ''A'' and ''B'', whose coordinates are displayed in the ''Algebra View''. Select the [[Line Tool|''Line'']] tool from the ''Graphics View Toolbar'' and click on both points in the ''Algebra View'' in order to create a line through points ''A'' and ''B''.}}
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=Modifying Mathematical Objects=
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You can modify the algebraic representation of mathematical objects directly in the ''Algebra View''.  
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Activate the [[Move Tool|''Move'']] tool and double click a [[Free,_Dependent_and_Auxiliary_Objects#Free_Objects|''Free Object'']] in the ''Algebra View''. In the appearing text box you can directly modify its algebraic representation. After hitting the {{KeyCode|Enter}} key, both the algebraic representation in the ''Algebra View'' and the graphical representation of the object in the ''[[Graphics View]]'' will automatically adapt to your changes.
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If you double click on a [[Free,_Dependent_and_Auxiliary_Objects#Dependent_Objects|''Dependent Object'']] in the ''Algebra View'', a dialog window appears allowing you to [[Redefine Dialog|Redefine]] the object.
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=Hiding Mathematical Objects in the ''Algebra View''=
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If you want to hide the algebraic representation of an object in the ''Algebra View'', you may specify the object as an [[Free, Dependent and Auxiliary Objects#Auxiliary Objects|''Auxiliary Object'']]. Open the tab ''Basic'' of the ''[[Properties Dialog]]'' and check ''Auxiliary Object''.
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By default, ''Auxiliary Objects'' are not shown in the ''Algebra View''. You can change this setting by selecting ''Auxiliary Objects'' from the ''[[Context Menu]]'' (right-click or Mac OS {{KeyCode|Ctrl}}-click), or by clicking on the appropriate icon in the [[Algebra View#Algebra View Style Bar|''Algebra View Style Bar'']].
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=Display of Mathematical Objects=
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By default, mathematical objects are organized by ''Object Types'' in the ''Algebra View''. In GeoGebra Desktop, you may use the [[Algebra View#Algebra View Style Bar|''Style Bar'' option]] ''Sort by'' in order to re-sort the objects by ''Dependency'', ''Layer'' or ''Construction Order''.
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{{hint|1=You can collapse or expand each group of objects individually (e.g. all points, all free objects, all objects on a specific layer) by clicking on the plus or minus symbol in front of the group’s name.}}
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=Algebra View Style Bar=
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The ''Algebra View Style Bar'' contains two buttons
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'''Auxiliary Objects''': Toggling this button shows or hides [[Free, Dependent and Auxiliary Objects#Auxiliary Objects|''Auxiliary Objects'']] in the ''Algebra View''.
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'''Sort Objects by''' organizes the mathematical objects according to the following criteria:
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*''Dependency'': The mathematical objects are organized as ''Free Objects'' and ''Dependent Objects''. If you create a new object without using any other existing objects, it is classified as a ''Free Object''. If your newly created object was created by using other existing objects, it is classified as a ''Dependent Object''.
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*''Object Type'': By default, the mathematical objects are organized by ''Object Types'' (e.g. Angles, Lines, Points), which are displayed in alphabetical order.
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*''Layer'': The mathematical objects are organized according to the layer they are drawn on. For more information see ''[[Layers]]''.
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*''Construction Order'': The mathematical objects are organized by construction order.

Revision as of 07:48, 13 October 2014

Algebra View User Interface

You may change the layout of the Algebra View User Interface according to your needs.

Creating Mathematical Objects

Direct Input

In the Algebra View you can directly enter algebraic expressions using the integrated Input Field (GeoGebra Web and Tablet Apps) or the Input Bar at the bottom of the GeoGebra window (GeoGebra Desktop). After hitting the Enter key your algebraic input appears in the Algebra View while its graphical representation is automatically displayed in the Graphics View.

Example: The input y = 2 x + 3 gives you the linear equation in the Algebra View and the corresponding line in the Graphics View.


Commands

GeoGebra also offers a wide range of Commands that can be used to create objects in the Algebra View. Just start typing the name of a Command into the Input Bar or Input Field and GeoGebra will offer you a list of Commands that match your input.

Tools

Although the Algebra View doesn’t have it’s own Toolbar, you can create Dependent Objects with the mouse. Select a tool from the Graphics View Toolbar and click on any appropriate object in the Algebra View in order to create a new Dependent Object.

Example: Create two points A and B, whose coordinates are displayed in the Algebra View. Select the Line tool from the Graphics View Toolbar and click on both points in the Algebra View in order to create a line through points A and B.


Modifying Mathematical Objects

You can modify the algebraic representation of mathematical objects directly in the Algebra View.

Activate the Move tool and double click a Free Object in the Algebra View. In the appearing text box you can directly modify its algebraic representation. After hitting the Enter key, both the algebraic representation in the Algebra View and the graphical representation of the object in the Graphics View will automatically adapt to your changes.

If you double click on a Dependent Object in the Algebra View, a dialog window appears allowing you to Redefine the object.

Hiding Mathematical Objects in the Algebra View

If you want to hide the algebraic representation of an object in the Algebra View, you may specify the object as an Auxiliary Object. Open the tab Basic of the Properties Dialog and check Auxiliary Object.

By default, Auxiliary Objects are not shown in the Algebra View. You can change this setting by selecting Auxiliary Objects from the Context Menu (right-click or Mac OS Ctrl-click), or by clicking on the appropriate icon in the Algebra View Style Bar.

Display of Mathematical Objects

By default, mathematical objects are organized by Object Types in the Algebra View. In GeoGebra Desktop, you may use the Style Bar option Sort by in order to re-sort the objects by Dependency, Layer or Construction Order.

Note Hint: You can collapse or expand each group of objects individually (e.g. all points, all free objects, all objects on a specific layer) by clicking on the plus or minus symbol in front of the group’s name.


Algebra View Style Bar

The Algebra View Style Bar contains two buttons

Auxiliary Objects: Toggling this button shows or hides Auxiliary Objects in the Algebra View.

Sort Objects by organizes the mathematical objects according to the following criteria:

  • Dependency: The mathematical objects are organized as Free Objects and Dependent Objects. If you create a new object without using any other existing objects, it is classified as a Free Object. If your newly created object was created by using other existing objects, it is classified as a Dependent Object.
  • Object Type: By default, the mathematical objects are organized by Object Types (e.g. Angles, Lines, Points), which are displayed in alphabetical order.
  • Layer: The mathematical objects are organized according to the layer they are drawn on. For more information see Layers.
  • Construction Order: The mathematical objects are organized by construction order.
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